1054883520 has 224 divisors, whose sum is σ = 3768791040. Its totient is φ = 277724160.

The previous prime is 1054883519. The next prime is 1054883537. The reversal of 1054883520 is 253884501.

It is a happy number.

1054883520 is a `hidden beast` number, since 1 + 0 + 54 + 8 + 83 + 520 = 666.

1054883520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1054883520² = 2225558481535180800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 716385 + ... + 717855.

It is an arithmetic number, because the mean of its divisors is an integer number (16824960).

Almost surely, 2^1054883520 is an apocalyptic number.

1054883520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884395520).

1054883520 is an abundant number, since it is smaller than the sum of its proper divisors (2713907520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1054883520 is a wasteful number, since it uses less digits than its factorization.

1054883520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1054883520 is about 32478.9704270317. The cubic root of 1054883520 is about 1017.9696636668.

The spelling of 1054883520 in words is "one billion, fifty-four million, eight hundred eighty-three thousand, five hundred twenty".